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3 years ago

7. Use the data in each table to write a linear function using function notation

Mathematics

1 answer:

AURORKA [14]3 years ago

8 0

Answer:

Answer

Step-by-step explanation:

7. f(x)=0.2x

8. f(x)=3x+5

9. f(x)=-2x-2

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Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle

mel-nik [20]

Vic and Dan are 2, 897m apart.

<h3>How to determine the distance</h3>

It is important to note that the distance between Vic and Dan is the base of CN

Let's say the distance to Dan is x

The distance to Vic is y

Using cosine ratio, we have

cos α = opposite / adjacent

α = 72°

opposite = 553. 3cm

Adjacent = x

cos 72° = $\frac{553. 3}{x}$

Cross multiply

$cos 72$ × $x$ = $553. 3$

$0. 3090x= 553. 3$

$x = \frac{553. 3}{0. 3090}$

$x = 1, 790. 61$ m

The distance to Vic is y

Using the cosine ratio, we have

$cos 60 = \frac{553. 3}{y}$

Cross multiply

$0. 5y = 553. 3$

$y = \frac{553. 3}{0. 5}$

$y = 1,106. 6$ m

To determine how far apart Vic and Dan, we use = x + y

= 1790. 61 + 1106. 6

= 2, 897. 21m

= 2, 897m

Thus, Vic and Dan are 2, 897m apart.

Learn more about bearing and distance here:

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4 years ago

Kacie bought x, number of pencils. She paid $0.91, including tax, per pencil. She gave the cashier $10 and received $6.36 back i

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Answer:

She purchased 4 pencils

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Here, we are to calculate the number of pencils bought given the information in the question.

The amount per pencil is $0.91. The total amount of this since she bought x number of pencils is $0.91 * x = $0.91x

Now, after paying $10, she was given $6.36 as change

what this means is that what the pencils cost is 10-6.36 = $3.64

Now we equate the cost in terms of x to this;

0.91x = 3.64

x = 3.64/0.91

x = 4 pencils

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7. Use the data in each table to write a linear function using function notation​

7. Use the data in each table to write a linear function using function notation